First a bit of context: My character is turning his back to someone holding a bow. And I'm trying to express his slight doubt doing so. The writing is supposed to be in third person past but when I'm doing thought like this I'm afraid I might slip into another tense on accident, so please check me on that. And please let me know whether this sentence still make sense:

Would he hear her bow in time, he caught himself wondering, to jump out the way of any arrows possibly heading for his back?

Thanks for the help. Feel free to give me pointers so I might continue to improve.